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 Hindustan Book Agency 2009; 248 pp; hardcover ISBN-10: 81-85931-89-5 ISBN-13: 978-81-85931-89-0 List Price: US$48 Member Price: US$38.40 Order Code: HIN/38 These notes are a record of a one-semester course on Functional Analysis given by the author to second-year Master of Statistics students at the Indian Statistical Institute, New Delhi. Students taking this course have a strong background in real analysis, linear algebra, measure theory and probability, and the course proceeds rapidly from the definition of a normed linear space to the spectral theorem for bounded selfadjoint operators in a Hilbert space. The book is organized as twenty-six lectures, each corresponding to a ninety-minute class session. This may be helpful to teachers planning a course on this topic. Well-prepared students can read it on their own. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels. Readership Graduate students and research mathematicians interested in functional analysis. Table of Contents Banach spaces Dimensionality New Banach Spaces from old The Hahn-Banach theorem The uniform boundedness principle The open mapping theorem Dual spaces Some applications The weak topology The second dual and the weak* topology Hilbert spaces Orthonormal bases Linear operators Adjoint operators Some special operators in Hilbert space The resolvent and the spectrum Subdivision of the spectrum Spectra of normal operators Square roots and the polar decomposition Compact operators The spectrum of a compact operator Compact operators and invariant subspaces Trace ideals The spectral theorem-I The spectral theorem-II The spectral theorem-III Index